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A-APR.2 Warmup M3-002-A01-V04

Apply the Remainder Theorem to connect p(a), remainders, and factors x-a.

Evaluate a polynomial at a given value to find the remainder

Problem

For \(p(x)~=~-x^3~+~2x^2~+~x~-~4\), evaluate \(p(-2)\) to find the remainder.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
A-APR.2
Category
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Objective
Apply the Remainder Theorem to connect p(a), remainders, and factors x-a.
Problem type
Evaluate a polynomial at a given value to find the remainder